What is the Greatest Common Factor of 95084 and 95104?

Greatest common factor (GCF) of 95084 and 95104 is 4.

GCF(95084,95104) = 4

We will now calculate the prime factors of 95084 and 95104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95084 and 95104.

How to find the GCF of 95084 and 95104?

We will first find the prime factorization of 95084 and 95104. After we will calculate the factors of 95084 and 95104 and find the biggest common factor number .

Step-1: Prime Factorization of 95084

Prime factors of 95084 are 2, 11, 2161. Prime factorization of 95084 in exponential form is:

95084 = 2² × 11¹ × 2161¹

Step-2: Prime Factorization of 95104

Prime factors of 95104 are 2, 743. Prime factorization of 95104 in exponential form is:

95104 = 2⁷ × 743¹

Step-3: Factors of 95084

List of positive integer factors of 95084 that divides 95084 without a remainder.

1, 2, 4, 11, 22, 44, 2161, 4322, 8644, 23771, 47542

Step-4: Factors of 95104

List of positive integer factors of 95104 that divides 95084 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 743, 1486, 2972, 5944, 11888, 23776, 47552

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95084 and 95104. The biggest common factor number is the GCF number.
So the greatest common factor 95084 and 95104 is 4.

Also check out the Least Common Multiple of 95084 and 95104